Three-Loop QCD corrections to the production of a Higgs boson and a Jet

Abstract

We compute three-loop QCD corrections to the scattering amplitude of a Higgs boson and three partons interfered with its tree level counterpart. Specifically, we derive our results in the generalized leading color limit. Our results are represented in terms of so-called multiple polylogarithms and thus ready for use in phenomenological predictions. We provide the three-loop amplitudes necessary to compute the production cross section of a Higgs boson and a hadronic jet at hadron colliders and the decay probability of a Higgs boson to three hadronic jets at lepton colliders.

5 pages, 2 figures

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Cited by in corpus (1)

• Two-loop leading-color QCD corrections for Higgs plus two-jet production in the heavy-top limit